1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
|
// SPDX-License-Identifier: EPL-2.0 OR GPL-2.0-or-later
// SPDX-FileCopyrightText: Bradley M. Bell <bradbell@seanet.com>
// SPDX-FileContributor: 2023-23 Bradley M. Bell
# include <cppad/local/val_graph/tape.hpp>
# include "../atomic_xam.hpp"
//
namespace { // BEGIN_EMPTY_NAMESPACE
// ----------------------------------------------------------------------------
// atom
bool atom(void)
{ bool ok = true;
//
// tape_t, Vector, addr_t, add_op_enum;
using CppAD::local::val_graph::tape_t;
using CppAD::local::val_graph::Vector;
using CppAD::local::val_graph::addr_t;
using CppAD::local::val_graph::op_enum_t;
op_enum_t add_op_enum = CppAD::local::val_graph::add_op_enum;
//
// atomic_xam
val_atomic_xam atomic_xam;
//
// callarg, op_arg
Vector<addr_t> callarg(4), op_arg(2);
//
// tape, ok
tape_t<double> tape;
addr_t n_ind = 1;
addr_t index_of_nan = tape.set_ind(n_ind);
ok &= index_of_nan == n_ind;
//
// atomic_index
addr_t atomic_index = addr_t( atomic_xam.atomic_index() );
//
// g_0(x) = c[0] + c[1]
// g_1(x) = c[2] * c[3]
Vector<double> c(4);
for(addr_t i = 0; i < 4; ++i)
{ c[i] = double(i + 2);
callarg[i] = tape.record_con_op(c[i]);
}
addr_t n_call_res = 2;
addr_t call_id = 0;
addr_t res_index = tape.record_call_op(
atomic_index, call_id, n_call_res, callarg
);
//
// dep_vec
Vector<addr_t> dep_vec(2);
//
// y[0] = x[0] + c[0] + c[1]
op_arg[0] = 0;
op_arg[1] = res_index;
dep_vec[0] = tape.record_op(add_op_enum, op_arg);
//
// y[0] = x[0] + c[2] * c[3]
op_arg[0] = 0;
op_arg[1] = res_index + 1;
dep_vec[1] = tape.record_op(add_op_enum, op_arg);
//
// set_dep
tape.set_dep( dep_vec );
//
// trace
bool trace = false;
//
// x
Vector<double> x(1);
x[0] = 5.0;
//
// val_vec
Vector<double> val_vec( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// y, ok
Vector<double> y(2);
y[0] = val_vec[ dep_vec[0] ];
y[1] = val_vec[ dep_vec[1] ];
ok &= y[0] == x[0] + c[0] + c[1];
ok &= y[1] == x[0] + c[2] * c[3];
ok &= tape.con_vec().size() == 5;
ok &= tape.n_op() == 8;
ok &= tape.arg_vec().size() == 1 + 4 + 4 + 5 + 2 + 2;
//
// fold_con
tape.fold_con();
//
// val_vec
val_vec.resize( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// dead_code
tape.dead_code();
//
// val_vec
val_vec.resize( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// y, ok
dep_vec = tape.dep_vec();
y[0] = val_vec[ dep_vec[0] ];
y[1] = val_vec[ dep_vec[1] ];
ok &= y[0] == x[0] + c[0] + c[1];
ok &= y[1] == x[0] + c[2] * c[3];
ok &= tape.con_vec().size() == 3;
ok &= tape.n_op() == 5;
ok &= tape.arg_vec().size() == 7;
//
return ok;
}
// ----------------------------------------------------------------------------
// dis_op
//
double floor(const double& arg)
{ return std::floor(arg); }
//
CPPAD_DISCRETE_FUNCTION(double, floor);
bool dis_op(void)
{ bool ok = true;
//
// tape_t, Vector, addr_t, add_op_enum;
using CppAD::local::val_graph::tape_t;
using CppAD::local::val_graph::Vector;
using CppAD::local::val_graph::addr_t;
using CppAD::local::val_graph::op_enum_t;
op_enum_t add_op_enum = CppAD::local::val_graph::add_op_enum;
//
// tape, ok
tape_t<double> tape;
addr_t n_ind = 1;
addr_t index_of_nan = tape.set_ind(n_ind);
ok &= index_of_nan == n_ind;
//
// dep_vec
Vector<addr_t> dep_vec(1);
//
// c
Vector<double> c(2);
c[0] = 5.5;
c[1] = floor( c[0] );
//
// tape
addr_t c0_addr = tape.record_con_op( c[0] );
addr_t discrete_index = addr_t( CppAD::discrete<double>::index("floor") );
addr_t c1_addr = tape.record_dis_op(discrete_index, c0_addr);
//
// tape, dep_vec
// y[0] = x[0] + c[1]
Vector<addr_t> op_arg(2);
op_arg[0] = 0; // x[0]
op_arg[1] = c1_addr; // c[1]
dep_vec[0] = tape.record_op(add_op_enum, op_arg); // x[0] + c[1]
//
// tape
tape.set_dep( dep_vec );
//
// trace
bool trace = false;
//
// x
Vector<double> x(1);
x[0] = 3.0;
//
// val_vec
Vector<double> val_vec( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// y, ok
Vector<double> y(1);
y[0] = val_vec[ dep_vec[0] ];
ok &= y[0] == x[0] + c[1];
ok &= tape.con_vec().size() == 2;
ok &= tape.n_op() == 4;
ok &= tape.arg_vec().size() == 6;
//
// fold_con
tape.fold_con();
//
// dead_code
tape.dead_code();
//
// val_vec
val_vec.resize( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// y, ok
dep_vec = tape.dep_vec();
y[0] = val_vec[ dep_vec[0] ];
ok &= y[0] == x[0] + c[1];
ok &= tape.con_vec().size() == 2;
ok &= tape.n_op() == 3;
ok &= tape.arg_vec().size() == 4;
//
return ok;
}
// ----------------------------------------------------------------------------
// cexp_op
bool cexp_op(void)
{ bool ok = true;
//
// tape_t, Vector, addr_t, add_op_enum;
using CppAD::local::val_graph::tape_t;
using CppAD::local::val_graph::Vector;
using CppAD::local::val_graph::addr_t;
CppAD::local::val_graph::compare_enum_t
compare_lt_enum = CppAD::local::val_graph::compare_lt_enum;
//
// tape, ok
tape_t<double> tape;
addr_t n_ind = 1;
addr_t index_of_nan = tape.set_ind(n_ind);
ok &= index_of_nan == n_ind;
//
addr_t left = tape.record_con_op( 5.0 );
addr_t right = tape.record_con_op( 4.0 );
addr_t if_true = tape.record_con_op( 3.0 );
addr_t if_false = tape.record_con_op( 2.0 );
// y[0] = x[0] + c[1]
Vector<addr_t> op_arg(2);
//
// dep_vec
Vector<addr_t> dep_vec(1);
dep_vec[0] = tape.record_cexp_op(
compare_lt_enum, left, right, if_true, if_false
);
//
// tape
tape.set_dep( dep_vec );
//
// trace
bool trace = false;
//
// x
Vector<double> x(1);
x[0] = 3.0;
//
// val_vec
Vector<double> val_vec( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// y, ok
Vector<double> y(1);
y[0] = val_vec[ dep_vec[0] ];
ok &= y[0] == 2.0;
ok &= tape.con_vec().size() == 5;
ok &= tape.n_op() == 6;
ok &= tape.arg_vec().size() == 5 + 5;
//
// fold_con
tape.fold_con();
//
// dead_code
tape.dead_code();
//
// val_vec
val_vec.resize( tape.n_val() );
for(addr_t i = 0; i < n_ind; ++i)
val_vec[i] = x[i];
tape.eval(trace, val_vec);
//
// y, ok
dep_vec = tape.dep_vec();
y[0] = val_vec[ dep_vec[0] ];
ok &= y[0] == 2.0;
ok &= tape.con_vec().size() == 2;
ok &= tape.n_op() == 2;
ok &= tape.arg_vec().size() == 2;
//
return ok;
}
// ----------------------------------------------------------------------------
} // END_EMPTY_NAMESPACE
//
// test_fold
bool test_fold(void)
{ bool ok = true;
//
ok &= cexp_op();
ok &= atom();
ok &= dis_op();
//
return ok;
}
|
